Question

the measures of two supplementary angles are (3x+15)°and (2x+5)° find the value of x

Answer 1

Given,

Two supplementary angles are (3x+15) and (2x+5).

To Find,

The value of x.

Solution,

The sum of supplementary angles is always equal to 180

So,

(3x+15)+(2x+5) = 180

As these two are supplementary angles, as given in the question.

5x+20 = 180

5x = 160

x = 160/5

x = 32.

Hence the value of x is 32.

Answer 2

The value of x is 32.

Tips:

We know that if A and B be two supplementary angles, then their sum is 180°.

• That is, A + B = 180°

Step-by-step explanation:

Here, given that the measures of two supplementary angles are (3x + 15)° and (2x + 5)°. Then,

(3x + 15) + (2x + 5) = 180 [taking only the numerals]

⇒ 3x + 15 + 2x + 5 = 180

⇒ 5x + 20 = 180

⇒ 5x = 160

⇒ x = 32 [dividing both sides by 5]

Thus the value of x is 32.